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" Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. "
Elements of Geometry, After Legendre, with a Selection of Geometrical ... - Page 20
by Charles Scott Venable - 1881
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...besides these, are called trape- *- .v— i ziums. XXXV. Parallel straight lines are .such as are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...figures besides these are called ziums. Book I. XXX. . 1 Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. N. * POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

William Nicholson - 1809 - 716 pages
...self-evident upon Euclid'« definition which he retains, ri:. Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. A more intelligible, and we think an equally rigid, demonstration of the property of parallels, may...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...ligures besides these, are called trapeziums. 35. Parallel straight lines, are si:ch as are in the «ams plane, and which, being produced ever so far both ways, do not meet. Pottalalfi. — 1 . Let it b* granted that a straight line ir.ay be drawn froir. any one point to any...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...'20th to the 2.9th inclusive, may stand as at present. 30. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. 31. A parallelogram is a four-sided figure, of which the opposite sides are parallel. 32. The diameter...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...which is greater than a right angle, as ADE, Fig. 4. 13. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet, as AB, CD, Fig. 5. 13. A figure is a space bounded by one or more lines. 14. A plane triangle is a...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight lines, are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...situated in the same plane and produced ever so far both ways, they do not meet. 13. A plane Jigure is a plane terminated on all sides by lines. If the lines are straight, the space which they contain is called Fig. 6. a rectilineal Jigure, or polygon (Jig. 6), and the lines tak en together...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...sided figures besides these, are called Trapeziums. XXX. Parallel straight lines, are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 9

William Nicholson - Natural history - 1821 - 402 pages
...self-evident upon Euclid's definition, which he retains, viz Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. A more intelligible, and we think an equally rigid demonstration of the property of parallels may be...
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